Among three numbers A B and C which is the greatest number Statement I Half of A is equal to one nda...........

Quantitative Aptitude (SBI-CL) Data Sufficiency

Among three numbers, A, B, and C which is the greatest number?

Statement I: Half of A is equal to one – fourth of B and the value of C is 1 more than that of B.

Statement II: One – third of B is equal to half of A and the value of C is 2 more than that of A.

The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

Either Statement I or Statement II alone is sufficient to answer the question.

Neither statement I nor statement II is sufficient to answer the questions.

The data in both the statements I and II together is necessary to answer the question.

Explanation:

From the statement I, A : B = 1 : 2
Here, B is greater and the value of C is 1 more than that of B therefore, for any value of B, C will be the
greatest
From the statement II, 3A = 2B
A : B = 2 : 3
Here we could not conclude that C will be greatest or smallest for all value of B
Because, when A = 4, B will be greatest but for A = 2, C will be greatest.
Therefore, the data in statements I alone is sufficient to answer the question, while the data in
statement II alone is not sufficient to answer the question.
Hence, option A is correct.